The property of linear fractional integro-differential equations on the basis of the collocation method and the operational matrices of cubic B-spline wavelets

Volume 22 , Issue 2 , December 2020 , Pages 281-292

Authors

Abolfazl Ghasemian 1 ; Ali Behzadi 2 ; Aazam Shirvani 3 ; Yaqub Azari 4

1 Department of Mathematics, Farhangian University, Yasuj, Iran.

2 Department of Mathematics, Behbahan Branch, Islamic Azad University, Iran.

3 Department of Computer, Farhangian University, Yasuj, Iran.

4 Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, 16785-163

DOI logo 10.17656/jzs.10828

Keywords

Abstract

In this paper, by using the collocation method the operational matrix of Caputo fractional derivative was constructed for the cubic B-spline scaling function and wavelets. We apply the operational matrix and the Collocation method to solve linear fractional Volterra integro-differential equations. By using the principal characteristic of this technique, we have the operational matrix, which is applied to solve any linear fractional Volterra integro-differential equation by reducing the time, computer memory occupation and convert to a system of linear equations. Finally, the validity and applicability of the new technique will be shown by some numerical examples and convergence analysis.

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  • Published at20 December 2020

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